MATH 4530 - Introduction to Topology

(MQR-AS)

Fall. 4 credits.

Prerequisite: MATH 2210, MATH 2230, MATH 2310, or MATH 2940, plus at least one mathematics course numbered 3000 or above, or permission of instructor. Students will be expected to be comfortable with proofs.

Staff.

Topology may be described briefly as qualitative geometry. This course begins with basic point-set topology, including connectedness, compactness, and metric spaces. Later topics may include the classification of surfaces (such as the Klein bottle and Möbius band), elementary knot theory, or the fundamental group and covering spaces.